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yesiammanu
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Homework Statement
A force F1 of magnitude 6.00 units acts on an object at the origin in a direction of 30.0° above the positive x-axis (Fig. P3.10). A second force F2 of magnitude 5.00 units acts on the object in the direction of the positive y axis. Find graphically the magnitude and direction of the resultant force F1 F2.
Homework Equations
I used the law of cosines R = √(A^2 + B^2 - 2ABcos∅)
I then used the law of sines sin β = A/R * sin∅
The Attempt at a Solution
I found that theta was 150 degrees by reversing the order of the vectors to flip the triangle, and subtracting from 30 degrees, as seen in the picture.
http://i.imgur.com/fA9zY.png
I found the answer to be 10.6 units through the equation but it does not seem like this is right at all; am I using the correct methodology?
I then found that the degrees were 73.6 by finding that sin β = .283, so β=16.4 but I wanted to put degrees above the x axis, so I subtracted 90 from 16.4 to get 73.6. This also seems wrong
I drew out the picture myself trying the "graphical method" and I came up with 8.1 with a 59 degree angle, which seemed much more reasonable. What am I doing wrong?
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